Question

question
factor completely.
$2x^2 + 7x + 5$
answer attempt 1 out of 2

Explanation:

Step1: Find product of coefficients

$2 \times 5 = 10$

Step2: Find factors of 10 summing to 7

Factors: 5 and 2 (since $5 + 2 = 7$)

Step3: Split middle term

$2x^2 + 5x + 2x + 5$

Step4: Factor by grouping

$x(2x + 5) + 1(2x + 5)$

Step5: Combine common factors

$(2x + 5)(x + 1)$

Answer:

$(2x + 5)(x + 1)$